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Finding the Fourth Proportional to 700.16, 965.84 and 438.12

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Solution

The fourth proportional to 700.16, 965.84 and 438.12 is: 604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.16 : 965.84 = 438.12 : x
  2. Step 2: Convert to fraction form
    700.16/965.84 = 438.12/x
  3. Step 3: Cross multiply
    700.16x = 965.84 × 438.12
  4. Step 4: Simplify right side
    700.16x = 423,153.82
  5. Step 5: Solve for x
    x = 423,153.82/700.16
  6. Step 6: Final answer
    x = 604.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.